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Beliebt Geometry >

leitkurve x^2+5x-24

Lösung

leitkurve

x^{2} + 5 x - 24

Lösung

y = - \frac{61}{2}

Schritte zur Lösung

Rewrite

y = x^{2} + 5 x - 24

in the standard form

4 \cdot \frac{1}{4} (y - (- \frac{121}{4})) = (x - (- \frac{5}{2}))^{2}

(h, k) = (- \frac{5}{2}, - \frac{121}{4}), p = \frac{1}{4}

Parabola is symmetric around the y-axis and so the directrix is a line parallel to the x-axis, a distance

- p

from the center

(- \frac{5}{2}, - \frac{121}{4})

y-coordinate

y = - \frac{121}{4} - p

y = - \frac{121}{4} - \frac{1}{4}

Fasse zusammen

y = - \frac{61}{2}

Graph

Beliebte Beispiele

leitkurve 1/24 y^2

d i rec t r i x \frac{1}{24} y^{2}

leitkurve y=25x^2-70x+36

d i rec t r i x y = 25 x^{2} - 70 x + 36

leitkurve-3x^2+5x

d i rec t r i x - 3 x^{2} + 5 x

leitkurve y=-x^2-4x-3

d i rec t r i x y = - x^{2} - 4 x - 3

leitkurve y=2x^2+3pi

d i rec t r i x y = 2 x^{2} + 3 π